Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics

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Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor , Hampton, VA, Springfield, VA
Flux vector splitting, Differential equations, Kinetic t
Other titlesGas kinetic theory based flux splitting method for ideal magnetohydrodynamics.
StatementKun Xu.
SeriesICASE report -- no. 98-53., [NASA contractor report] -- 208747., NASA contractor report -- NASA CR-208747.
ContributionsInstitute for Computer Applications in Science and Engineering.
The Physical Object
FormatMicroform
Pagination1 v.
ID Numbers
Open LibraryOL18132912M

A gas-kinetic flux splitting method is developed for the ideal magnetohydrodynamics (MHD) equations. The new scheme is based on the direct splitting of the flux function of the MHD equations with the inclusion of “particle” collisions in the transport by: GAS-KINETICTHEORY BASED FLUX SPLITTING METHOD FOR IDEAL MAGNETOHYDRODYNAMICS KUN XU* Abstract.

A gas-kinetic solver is developed for the ideal magnetohydrodynamics (MHD) equations. The new scheme is based on the direct splitting of the flux function of the MHD equations with the inclusion of "particle" collisions in the transport process. Gas-Kinetic Theory-Based Flux Splitting Method for Ideal Magnetohydrodynamics Kun Xu Mathematics Department, The Hong Kong University of Science & Technology, Clear Water Bay, Kowloon, Hong Kong E-mail: [email protected] Received Octo ; revised Febru A gas-kinetic flux splitting method is developed for the ideal.

Get this from a library. Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics. [Kun Xu; Institute for Computer Applications in Science and Engineering.]. This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K.

Xu,J.) to multidimensional kinetic MHD scheme is constructed based on the direct splitting of the macroscopic flux functions with the consideration of particle by: This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations (K.

Description Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics PDF

Xu,J. Comput. Phys.) to multidimensional cases. The kinetic MHD scheme is constructed based on the direct splitting of the macroscopic flux functions with the consideration of particle transport.

This paper extends the gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics (MHD) equations Gas-kinetic theory based flux splitting method for ideal magnetohydrodynamics book.

Xu,J. Comput. Phys, ) to multidimensional cases. In this work, the gas-kinetic method (GKM) is enhanced with resistive and Hall magnetohydrodynamics (MHD) effects. Known as MGKM (for MHD–GKM), this approach incorporates additional source terms to the momentum and energy conservation equations and solves the magnetic field induction by: 3.

() Gas-Kinetic Theory-Based Flux Splitting Method for Ideal Magnetohydrodynamics. Journal of Computational Physics() High-order gas-kinetic methods for ideal by: [10] Xu K.

Gas-kinetic theory-based flux splitting method for ideal magnetohydrodynamics. J Comput Phys,Author: YiBing Chen, Song Jiang, Na Liu. This paper presents the baseline development of an ideal magnetohydrodynamics (MHD) solver towards enhancing the knowledge base on the numerical and flow physics complexities associated with MHD flows.

The ideal MHD governing equations consisting of the coupled fluid flow equations and the Maxwell’s equations of electrodynamics are implemented in the three dimensional finite volume Author: Ramakrishnan Balasubramanian, Karupannasamy Anandhanarayanan.

The authors present a higher-order Godunov method for the solution of the two- and three-dimensional equations of ideal magnetohydrodynamics (MHD). This work is based both on a suitable operator-split approximation to the full multidimensional equations, and on a one-dimensional Riemann solver.

This Riemann solver is sufficiently robust to handle the nonstrictly hyperbolic nature of the MHD Cited by: The full text of this article hosted at is unavailable due to technical difficulties.

The kinetic theory of gases is a historically significant, but simple, model of the thermodynamic behavior of gases, with which many principal concepts of thermodynamics were model describes a gas as a large number of identical submicroscopic particles (atoms or molecules), all of which are in constant, rapid, random size is assumed to be much smaller than the.

method, gas-kinetic scheme, three-dimensional flow I. INTRODUCTION HE development of gas-kinetic schemes for solving compressible flows in recent time has received a lot of attention and progress, especially in the last two decades.

Among those notably promising ones are the Equilibrium Flux Method (EFM) [1], the Kinetic Flux Vector Splitting. The multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields [J.

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Comput. Phys. () ] is extended to resistive magnetic flows. The non-magnetic part of the magnetohydrodynamics equations is calculated by a BGK solver modified due to magnetic field. The magnetic part is treated by the flux splitting method based gas-kinetic theory [J. Author: Chun-Lin Tian.

extended for ideal MHD flows, using the same gas-kinetic flux splitting method as in non-MHD flows [14–16]. However, there is no straight-forward way to extend this gas-kinetic flux splitting method to include nonideal MHD effects due to the lack of corre-sponding microscopic equations [15].

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One alternative is to treat. The focus of this study is the establishment of an kinetic approach in order to solve initial and boundary value problems for the two examples.

The ingredients of the kinetic approach are: (i) Representation of macroscopic fields by moment integrals of the kinetic phase by: 1.

Gas kinetic theory derives the relationship between root-mean-squared speed and temperature. The particle motions are random, therefore velocities along all directions are equi valent.

Therefore the average velocity (vector) along any dimension/direction will be zero. Now, the root-mean-squared velocity = root-mean-squared speed ; it is Size: KB. 2. Some neon gas, assumed to be ideal, has a volume of cm3 at a pressure of x 10^5Pa and a temperature of 23C.

Calculate: a) the amount of substance in mol again not really too sure about converting to m3 but this is what ive done: cm3 = x 10^-6m3 pV = nRT x 10^5 x x 10^-4 = n x x n = x 10^   x - Lect 33 - Kinetic Gas Theory, Ideal Gas Law, Phase Transitions - Duration: Lectures by Walter Lewin.

They will make you ♥ Physics. 59, views. American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA Learn kinetic+molecular+theory theory gas gases with free interactive flashcards.

Choose from different sets of kinetic+molecular+theory theory gas gases flashcards on Quizlet. Welcome back toand welcome back to AP Chemistry Today, we're going to be discussing kinetic-molecular theory and properties of real gases Up until now, we've been discussing the ideal gas law, PV=nRT; well, the real gases actually behave well at low pressures and high temperatures Thanks for contributing an answer to Physics Stack Exchange.

Please be sure to answer the question. Provide details and share your research. But avoid Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience.

Use MathJax to format equations. Kinetic Molecular Theory explains the macroscopic properties of gases and can be used to understand and explain the gas laws. Express the five basic assumptions of the Kinetic Molecular Theory of Gases.

Kinetic Molecular Theory states that gas particles are in. The kinetic molecular theory can be used to explain the results Graham obtained when he studied the diffusion and effusion of gases. The key to this explanation is the last postulate of the kinetic theory, which assumes that the temperature of a system is proportional to the average kinetic energy of its particles and nothing else.

Ao-Ping Peng, Zhi-Hui Li, Jun-Lin Wu and Xin-Yu Jiang, Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes, Journal of Computational Physics,(), ().Cited by: Properties of gases can be modeled using some relatively simple equations, which we can relate to the behavior of individual gas molecules.

We will learn about the ideal gas law, vapor pressure, partial pressure, and the Maxwell Boltzmann distribution.

The kinetic-molecular theory explains the properties of solids, liquids,and gases in terms of energy of the particles and. According to the kinetic molecular theory, particles of an ideal gas. Neither attract nor repel each other but collide. What determines the average kinetic energy of the molecules of any gas?.

Practice: Calculations using the ideal gas equation. This is the currently selected item. Next lesson. Non-ideal gas behavior. Science Chemistry Gases and kinetic molecular theory Ideal gas equation. Calculations using the ideal gas equation.

Google Classroom Facebook Twitter. Email. Ideal gas equation. Ideal gas equation: PV = nRT. Hey, This should be a pretty simple problem to answer I'm just a bit confused on this, and want to make sure I'm right.

It's an easy problem: Molecules in a gas can only move in the x direction (i.e., v_{y}=v_{z}=0). You set up an experiment in which you measure the velocity of a few. Which statement describes the particles an ideal gas according to the kinetic molecular theory?

Okay so the answer turns on out to be "The gas particles are in random, constant, straight-line motion." I understood the “random” part, but can someone explain the “constant straight-line motion” a bit more?

Doesn't it contradict “random.